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  2. Prism (geometry) - Wikipedia

    en.wikipedia.org/wiki/Prism_(geometry)

    A right prism is a prism in which the joining edges and faces are perpendicular to the base faces. [5] This applies if and only if all the joining faces are rectangular. The dual of a right n-prism is a right n-bipyramid. A right prism (with rectangular sides) with regular n-gon bases has Schläfli symbol { }×{n}.

  3. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    Right parallelogrammic prism: it has four rectangular faces and two parallelogrammic faces. ... The n-volume of an n ... A formula to compute the volume of an n ...

  4. List of formulas in elementary geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    Rectangle (+) is length, is ... This is a list of volume formulas of basic ... is the base's area and is the prism's height; Pyramid – , where is the base ...

  5. Solid geometry - Wikipedia

    en.wikipedia.org/wiki/Solid_geometry

    Some sources also require that each of the faces is a rectangle (so each pair of adjacent faces meets in a right angle). This more restrictive type of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped. [5] Polyhedron

  6. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    rectangle area General triangular area + + [1] ... the volume and the centroid coordinates ... b = the base side of the prism's triangular base,

  7. Rectangular cuboid - Wikipedia

    en.wikipedia.org/wiki/Rectangular_cuboid

    A rectangular cuboid is a convex polyhedron with six rectangle faces. These are often called "cuboids", without qualifying them as being rectangular, but a cuboid can also refer to a more general class of polyhedra, with six quadrilateral faces. [1] The dihedral angles of a rectangular cuboid are all right angles, and its opposite faces are ...

  8. Cavalieri's principle - Wikipedia

    en.wikipedia.org/wiki/Cavalieri's_principle

    The volume ratio is maintained when the height is scaled to h' = r √ π. 3. Decompose it into thin slices. 4. Using Cavalieri's principle, reshape each slice into a square of the same area. 5. The pyramid is replicated twice. 6. Combining them into a cube shows that the volume ratio is 1:3.

  9. Base (geometry) - Wikipedia

    en.wikipedia.org/wiki/Base_(geometry)

    By this usage, the area of a parallelogram or the volume of a prism or cylinder can be calculated by multiplying its "base" by its height; likewise, the areas of triangles and the volumes of cones and pyramids are fractions of the products of their bases and heights. Some figures have two parallel bases (such as trapezoids and frustums), both ...